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Finding the Fourth Proportional to 809,733.80, 1,213,823.10 and 629,719.40

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Solution

The fourth proportional to 809,733.80, 1,213,823.10 and 629,719.40 is: 943,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,733.80 : 1,213,823.10 = 629,719.40 : x
  2. Step 2: Convert to fraction form
    809,733.80/1,213,823.10 = 629,719.40/x
  3. Step 3: Cross multiply
    809,733.80x = 1,213,823.10 × 629,719.40
  4. Step 4: Simplify right side
    809,733.80x = 764,367,954,238.14
  5. Step 5: Solve for x
    x = 764,367,954,238.14/809,733.80
  6. Step 6: Final answer
    x = 943,974.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.